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Scientific paper
Dec 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007georl..3423803z&link_type=abstract
Geophysical Research Letters, Volume 34, Issue 23, CiteID L23803
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1
Atmospheric Processes: Acoustic-Gravity Waves, Atmospheric Processes: Mesospheric Dynamics, Atmospheric Processes: Middle Atmosphere Dynamics (0341, 0342), Atmospheric Processes: Thermospheric Dynamics (0358), Atmospheric Processes: Turbulence (4490)
Scientific paper
We derive a gravity wave propagation equation for a compressible and non-isothermal atmosphere with a variable background wind profile. Impact of all the gradient terms on the vertical wavenumber depends only on the intrinsic horizontal phase velocity and the background atmosphere. For the background wind variation, any one of the linear first order derivative, second order derivative and the square of the first order derivative terms can be the dominant term under different conditions. For temperature variation, only the linear first order derivative is important for waves having a slow intrinsic horizontal phase velocity. Our equation indicates that the effect of wind shear on the vertical wavenumber is opposite to that predicted by the Taylor-Goldstein equation, which assumes an incompressible fluid. We also derive an expression for the amplitude of the vertical wind perturbation.
Morton Yu T.
Zhou Qihou
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